I now had a total of 3 loading cover for the Lumia 1020 (2 black and a yellow cover charge). All I ordered through Amazon. The first cover once functioned not, if it has not moved in front of each charging upwards. If it worked then lost the phone again and again the "Charging connection".
I then tried to bend the contacts in order to achieve better contact with the Lumia (As described in an Internet forum). The end result was that one of the contacts broke off. So ordered the second cover. The charging function again was possible only by shifting and even unreliable again.
This cover I have returned within 14 days cancellation period. The last cover was then a yellow load cover what worked after all, without having to move, but not reliably even lost it again the charging connection.
I now have the phone sent to the service to be verified, among other things, whether it maybe there is a problem, but I've got no great hope.
In short, the idea of charging cover for the Lumia 1020 hold for an absolute disaster. So this feature worked excellently with the Lumia 920, so bad it works with the Lumia 1020th
UPDATE 01/2014
I have my Lumia 1020 a 2nd time at Nokia sent (including charging Cover CC-3066). It has now been replaced under warranty and now works as easily as the Lumia 920 with integrated charger!